JEE Advanced | 2015Math miscellaneousHard
Question
Let ƒ′ (x) = 
for all x ∈ 
with
= 0. If m ≤
dx ≤ M, then the possible values of m and M are
for all x ∈ with = 0. If m ≤dx ≤ M, then the possible values of m and M areOptions
A.m = 13, M = 24
B.m = 1/4, M = 1/2
C.m = −11, M = 0
D.m = 1, M = 12
Solution
f′(x) = 
16x4 - 1 ≤ f(x) ≤ 24x4 - 3/2
out of given options only option D is correct.
16x4 - 1 ≤ f(x) ≤ 24x4 - 3/2
out of given options only option D is correct.
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